Vertex operators for production of baryon resonances in nucleon-gamma collisions with preserving gauge invariance and analyticity

Anisovich, A. V.; Anisovich, V.V.; Sarantsev, A.

doi:10.1142/s0217751x16501931

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Cited by 3 publications

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“…In this Appendix we present some useful convolutions of OAM-operators with several open indices occurring in the calculation of baryon electroproduction amplitudes with the use of the set of effective vertices worked out in [21]. This can be easily done with the help of the derivative operation (13).…”

Section: Acknowledgementsmentioning

confidence: 99%

Differential technique for the covariant orbital angular momentum operators

Matveev,

Sarantsev,

Semenov-Tian-Shansky

et al. 2018

Preprint

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The orbital angular momentum operator expansion turns to be a powerful tool to construct the fully covariant partial wave amplitudes of hadron decay reactions and hadron photo-and electroproduction processes. In this paper we consider a useful development of the orbital angular momentum operator expansion method. We present the differential technique allowing the direct calculation of convolutions of two orbital angular momentum operators with an arbitrary number of open Lorentz indices. This differential technique greatly simplifies calculations when the reaction subject to the partial wave analysis involves high spin particles in the initial and/or final states. We also present a useful generalization of the orbital angular momentum operators.

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Section: Acknowledgementsmentioning

confidence: 99%